Least Common Multiple of 19/45, 82/52, 96/30, 22/983

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/45, 82/52, 96/30, 22/983 quickly i.e. 822624 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/45, 82/52, 96/30, 22/983 is 822624.

LCM(19/45, 82/52, 96/30, 22/983) = 822624

LCM of 19/45, 82/52, 96/30, 22/983

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 19/45,82/52,96/30,22/983

Given numbers are 19/45,82/52,96/30,22/983

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 19,82,96,22

Least Common Multiple of Numerators i.e. LCM of 19,82,96,22 is 822624.

GCF of Denominators means GCF of 45,52,30,983 as per the given fractions.

GCF of 45,52,30,983 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,82,96,22

LCM of Fractions 19/45,82/52,96/30,22/983 is 822624

2 19, 82, 96, 22
19, 41, 48, 11

∴ So the LCM of the given numbers is 2 x 19 x 41 x 48 x 11 = 822624

Least Common Multiple of 19,82,96,22 with GCF Formula

Least Common Multiple of 19,82,96,22 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 19,82,96,22 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,82,96,22) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(19,82,96,22) x common factors =1 x 4 = 4

LCM(19,82,96,22) = ( 19 × 82 × 96 × 22 ) / 4

LCM(19,82,96,22) = 3290496 / 4

LCM(19,82,96,22) = 822624


Lets's calculate GCF of 45,52,30,983

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 822624/1

Therefore the LCM of Fractions 19/45,82/52,96/30,22/983 is 822624

Greatest Common Factor of 45,52,30,983 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,52,30,983 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 983

List of positive integer factors of 983 that divides 983 without a remainder.

1,983

Greatest Common Factor

We found the factors 45,52,30,983 . The biggest common factor number is the GCF number.
So the greatest common factor 45,52,30,983 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 19/45, 82/52, 96/30, 22/983

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 19/45, 82/52, 96/30, 22/983?

Answer: LCM of Numerators as per given numbers 19/45, 82/52, 96/30, 22/983 is

LCM of Numerators i.e. for 19,82,96,22 is 822624

GCF of denominators i.e. for 45,52,30,983 is 1.

Thus, LCM of Fractions is 822624.Finally, LCM of Fractions for 19/45, 82/52, 96/30, 22/983 is 822624.